12612
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 29456
- Proper Divisor Sum (Aliquot Sum)
- 16844
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4200
- Möbius Function
- 0
- Radical
- 6306
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 63
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 74.at n=35A031572
- McKay-Thompson series of class 36C for Monster.at n=42A058646
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == (mod 6) so far).at n=27A060733
- Least k such that k*7^n +/- 1 are twin primes.at n=42A064217
- Interprimes which are of the form s*prime, s=12.at n=33A075287
- Smallest multiple of n beginning and ending in n and having a digit sum of n, or 0 if no such number exists.at n=11A077739
- Smallest multiple of n beginning and ending in n and with a digit sum that is divisible by n.at n=11A078213
- Sum of the first n primes whose indices are primes.at n=35A083186
- Numbers k such that k^k + k + 5 is prime.at n=6A100849
- a(n) = 13 + floor(Sum_{j=1..n-1} a(j)/2).at n=17A120140
- Numerator of Euler(n,4).at n=8A157808
- a(n) = n^4/2-5*n^3/2+21*n-30.at n=12A217530
- Numbers m with m - 1, m + 1 and q(m) - 1 all prime, where q(.) is the strict partition function (A000009).at n=8A235346
- Number of length n+5 0..3 arrays with no disjoint triples in any consecutive six terms having the same sum.at n=2A247990
- T(n,k)=Number of length n+5 0..k arrays with no disjoint triples in any consecutive six terms having the same sum.at n=12A247995
- Number of length 3+5 0..n arrays with no disjoint triples in any consecutive six terms having the same sum.at n=2A247998
- a(n) = 54*n^2 - 78*n + 36.at n=16A277983
- Expansion of Product_{k>=1} (1 + 2*x^k - x^(2*k)).at n=40A293182
- a(n) = 27*n^2 - 21*n + 6 (n>=1).at n=21A304164
- Number of chiral pairs of set partitions of a primitive cycle of n elements having exactly two different elements.at n=20A308706